Search a number
-
+
20653824 = 28326893
BaseRepresentation
bin100111011001…
…0011100000000
31102212022201110
41032302130000
520241410244
62014403320
7340361142
oct116623400
942768643
1020653824
1110727584
126b00540
134381bc9
142a58c92
151c2e9b9
hex13b2700

20653824 has 36 divisors (see below), whose sum is σ = 54971336. Its totient is φ = 6884352.

The previous prime is 20653823. The next prime is 20653837. The reversal of 20653824 is 42835602.

It is a junction number, because it is equal to n+sod(n) for n = 20653791 and 20653800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20653823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12679 + ... + 14214.

Almost surely, 220653824 is an apocalyptic number.

20653824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20653824 is an abundant number, since it is smaller than the sum of its proper divisors (34317512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20653824 is an equidigital number, since it uses as much as digits as its factorization.

20653824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26912 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20653824 is about 4544.6478411424. The cubic root of 20653824 is about 274.3680209342.

The spelling of 20653824 in words is "twenty million, six hundred fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 26893 53786 80679 107572 161358 215144 322716 430288 645432 860576 1290864 1721152 2581728 3442304 5163456 6884608 10326912 20653824